The present invention provides (1) a sulfone compounds having a propargyl group, (2) a nonaqueous electrolytic solution for lithium secondary batteries, which comprises an electrolyte salt dissolved in a nonaqueous solvent and contains a sulfone compound having a specific structure that has an SO2 group with a propargyl group or a vinyl group bonding thereto, in an amount of from 0.01 to 10% by weight of the nonaqueous electrolytic solution, and which can prevent gas generation and is excellent in battery characteristics such as cycle property and the like, and (3) a lithium secondary battery comprising a positive electrode, a negative electrode and a nonaqueous electrolytic solution of an electrolyte salt dissolved in a nonaqueous solvent, wherein the nonaqueous electrolytic solution contains a sulfone compound having a specific structure, in an amount of from 0.01 to 10% by weight of the nonaqueous electrolytic solution.